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201332032020 = 223257222826761
BaseRepresentation
bin1011101110000001010…
…0110000001000010100
3201020200011201220220200
42323200110300020110
511244312000011040
6232253552100500
720355124015200
oct2734024601024
9636604656820
10201332032020
1178425757609
1233029834730
1315ca7290cc2
149a5cd7db00
155385390630
hex2ee0530214

201332032020 has 108 divisors (see below), whose sum is σ = 710414486964. Its totient is φ = 46018748160.

The previous prime is 201332032009. The next prime is 201332032037. The reversal of 201332032020 is 20230233102.

It is a happy number.

201332032020 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 320 + 320 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55062499716 + 146269532304 = 234654^2 + 382452^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201332031984 and 201332032002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11404561 + ... + 11422200.

Almost surely, 2201332032020 is an apocalyptic number.

201332032020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201332032020 is an abundant number, since it is smaller than the sum of its proper divisors (509082454944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201332032020 is a wasteful number, since it uses less digits than its factorization.

201332032020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22826790 (or 22826778 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 201332032020 its reverse (20230233102), we get a palindrome (221562265122).

The spelling of 201332032020 in words is "two hundred one billion, three hundred thirty-two million, thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 22826761 45653522 68480283 91307044 114133805 136960566 159787327 205440849 228267610 273921132 319574654 342401415 410881698 456535220 479361981 639149308 684802830 798936635 821763396 958723962 1027204245 1118511289 1369605660 1438085943 1597873270 1917447924 2054408490 2237022578 2396809905 2876171886 3195746540 3355533867 4108816980 4474045156 4793619810 5592556445 5752343772 6711067734 7190429715 9587239620 10066601601 11185112890 13422135468 14380859430 16777669335 20133203202 22370225780 28761718860 33555338670 40266406404 50333008005 67110677340 100666016010 201332032020